401640165 has 24 divisors (see below), whose sum is σ = 707593848. Its totient is φ = 210695040.

The previous prime is 401640163. The next prime is 401640203. The reversal of 401640165 is 561046104.

401640165 is a `hidden beast` number, since 4 + 0 + 1 + 640 + 16 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40564161 + 361076004 = 6369^2 + 19002^2 .

It is not a de Polignac number, because 401640165 - 2¹ = 401640163 is a prime.

It is a super-2 number, since 2×401640165² = 322629644282454450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401640163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70414 + ... + 75903.

It is an arithmetic number, because the mean of its divisors is an integer number (29483077).

Almost surely, 2^401640165 is an apocalyptic number.

401640165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401640165 is a deficient number, since it is larger than the sum of its proper divisors (305953683).

401640165 is a wasteful number, since it uses less digits than its factorization.

401640165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146389 (or 146386 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 401640165 is about 20040.9621775004. The cubic root of 401640165 is about 737.8119963083.

Adding to 401640165 its reverse (561046104), we get a palindrome (962686269).

The spelling of 401640165 in words is "four hundred one million, six hundred forty thousand, one hundred sixty-five".